What is the missing number?

Question 4 options:

Answer:

The equation of line perpendicular to given line passing through (-15,-4) is:

[tex]y = -\frac{4}{3}x-24[/tex]

Step-by-step explanation:

Given equation is:

[tex]3x-4y = 9[/tex]

The given equation is in standard form. We have to convert it into slope intercept form first.

The slope intercept form is:

[tex]y = mx+b[/tex]

So,

[tex]3x-4y=9\\3x-9 = 4y\\4y = 3x-9\\\frac{4y}{4} = \frac{3x-9}{4}\\y = \frac{3}{4}x - \frac{9}{4}[/tex]

The co-efficient of x is the slope of the line.

m = 3/4

The product of slopes of two perpendicular lines is: -1

Let m1 be the slope of line perpendicular to given line then

[tex]m.m_1 =-1\\\frac{3}{4} . m_1 = -1\\m_1 = -1 * \frac{4}{3} \\m_1 = -\frac{4}{3}[/tex]

Putting in slope-intercept form

[tex]y = m_1x+b\\y = -\frac{4}{3}x+b[/tex]

To find the value of b, putting (-15,-4) in equation

[tex]-4 = -\frac{4}{3}(-15) +b\\-4 = 20+b\\-4-20 = b\\b = -24[/tex]

The equation will be:

[tex]y = -\frac{4}{3}x-24[/tex]

Hence,

The equation of line perpendicular to given line passing through (-15,-4) is:

[tex]y = -\frac{4}{3}x-24[/tex]

Answer:

Adjacent angles are two angles in the same plane with a common  VERTEX and a common  SIDE but no common interior points.

Step-by-step explanation:

Adjacent angles share a common side on the same vertes, but they do not overlap each other.

In the attached image, ∠ABD is adjacent to ∠DBC, but ∠ABC is not adjacent to any of them.

Answer:

Yes. m is parallel to n. Since the 2 angles labelled are equal, by alternate angles rule, m is parallel to n.

Step-by-step explanation:

This is a question on angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

yes

Step-by-step explanation:

Yes m is parallel to n because the alternate interior angles are equal .

Answer:

5

Step-by-step explanation:

[tex]\frac{15}{1}[/tex] multiplied by [tex]\frac{1}{3}[/tex]

which makes: [tex]\frac{15}{3}[/tex]

simplify: 5

Answer:

The answer is y < 2x -3

Step-by-step explanation:

You can read this as all values on the graph will be the value of x times 2 minus 3..

For example, if we wanted to know what the value of y would be if x =2, we would plug in 2 and get 2(2) - 3 or just 1. We can see at the graph that when x = 2 y does equal 1. **In this situation we are pretending that the < symbol is the equal symbol..

To actually find the answer you can graph each equation until you find it or do it this way:

1) Find the slope and determine if it it works for the given graph.

We can see that the slope of the given graph is positive and if we look closer we can see that the slope is 2 over  and that we have a y-intercept of (0,-3).

2) We know that it is Option 2 instead of the first option because o the < sign. If it was option 1, then the shaded part of the graph would be on the other side of the line.

The inequality has the graph shown in the question. is to be considered as the  y < 2x -3.

Since

First determine the slope

So we can see that the slope of the given graph should be positive and then the slope should be 2 over and there is y-intercept of (0,-3).

So based on this, we can say that The inequality has the graph shown in the question. is to be considered as the  y < 2x -3.

Learn more about y-intercept here: https://brainly.com/question/15587122

Answer:

12 cm !!!

hope you mark me bainliest or your friend

Answer:

-11/12 − 1/6

-3/5 + 3/20

-2/3 + 1/12

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

the principal

Step-by-step explanation:

Answer:

0.0907

Step-by-step explanation:

There are 12 picture cards

There are 4 9's

There are 52-12-4 = 36 cards that are not 9's and not picture cards

(5*58905)/(52C5)

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=9,\:y=13[/tex]

the option 'd' is correct.

Step-by-step explanation:

Given the system of the equations

[tex]\begin{bmatrix}5x-3y=6\\ 6x-4y=2\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}5x-3y=6\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:30x-18y=36[/tex]

[tex]\mathrm{Multiply\:}6x-4y=2\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:30x-20y=10[/tex]

[tex]\begin{bmatrix}30x-18y=36\\ 30x-20y=10\end{bmatrix}[/tex]

[tex]30x-20y=10[/tex]

[tex]-[/tex]

[tex]\underline{30x-18y=36}[/tex]

[tex]-2y=-26[/tex]

[tex]\begin{bmatrix}30x-18y=36\\ -2y=-26\end{bmatrix}[/tex]

solve for y

[tex]-2y=-26[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-2[/tex]

[tex]\frac{-2y}{-2}=\frac{-26}{-2}[/tex]

[tex]y=13[/tex]

[tex]\mathrm{For\:}30x-18y=36\mathrm{\:plug\:in\:}y=13[/tex]

[tex]30x-18\cdot \:13=36[/tex]

[tex]30x-234=36[/tex]

[tex]30x=270[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}30[/tex]

[tex]\frac{30x}{30}=\frac{270}{30}[/tex]

[tex]x=9[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=9,\:y=13[/tex]

Therefore, the option 'd' is correct.

Answer:

we are missing some information, so I looked for a similar question and found the attached image:

Cincinnati's total population = 298,957 people

Cincinnati's population over age 25 = 193,638

I added all the people that were up to 24 years old and then subtract that number from 298,957 - 105,319 = 193,638

Percentage of Cincinnati residents over age 25 that have a bachelor's degree or higher = 66,722 / 193,638 = 0.3446 = 34.46%

Answer:

$12.69

Step-by-step explanation:

3 times 4.23=12.96

Answer:

$12.69

Step-by-step explanation:

you would multiply 4.23 by 3

hope this helps

Answer:

52 cards:

26 red and 26 black

P(R) = probability of picking a red card

P(B) = probability of picking a black card

P(R) = P(B) = ¹/₂

If with replacement:

P(R∩B) = (¹/₂)(¹/₂) = ¹/₄

If without replacement:

P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁

8 Balls:

3 red and 5 white

P(R) = probability of picking a red ball

P(W) = probability of picking a white ball

P(R) = ³/₈

P(W) = ⁵/₈

If with replacement:

P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)

= ¹⁵/₆₄ + ¹⁵/₆₄

= ³⁰/₆₄

= ¹⁵/₃₂

If without replacement:

P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)

= ¹⁵/₄₂ + ¹⁵/₄₂

= ³⁰/₄₂

= ⁵/₇

A half-life of 9 minutes corresponds to a decay factor k such that

[tex]\dfrac12=e^{9k}\implies k=-\dfrac19\ln\left(\dfrac12\right)[/tex]

Then the time it takes for the substance to decay from 610 g to 124 g is time t such that

[tex]124\,\mathrm g=(610\,\mathrm g)e^{kt}[/tex]

Solve for t :

[tex]\dfrac{62}{305}=e^{kt}[/tex]

[tex]\ln\left(\dfrac{62}{305}\right)=kt[/tex]

[tex]t=\dfrac1k\ln\left(\dfrac{62}{305}\right)\approx20.686[/tex]

so it takes about 20.7 min for the 610 g sample to decay down to 124 g.

Answer:

a)37

b)10

c)0 beacuse if there 11 then they would be speeding and also if it wrond try 10

d)28.571428571429%Step-by-step explanation:

Answer:

y = 3/4x + 1 and 3x - 4y= -4

Step-by-step explanation:

I dont feel like explaining but just trust me bro

The Equation of parallel line is y= 3/7 x - 2/7.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

We have equation 3x – 4y = 7 and passes through (-4, -2).

Writing the given equation in slope intercept form as

3x = 7 +4y

4y = 3x- 7

y= 3/7 x - 4/7

so, the slope of parallel line is 3/7.

and, passes through (-4, -2).

y= 3/7 x +b

-2 = 3/7(-4) +b

-2 = -12 /7 + b

b = -2/7

So, the Equation of line is y= 3/7 x - 2/7.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ6

Answer:

Step-by-step explanation:

so the steps to doing this are as follows :

Subtract the accepted value from the experimental value.

Take the absolute value of step 1.

Divide that answer by the accepted value.

Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

|18.7-19.3|/19.3 = 0.031088 * 100% = 3.1%

Answer:

The slides is 36 and the angle is 180.

Step-by-step explanation:

14.4m+15.6m+6m=36

90+30+50=180  

If they ask why it is 180 because when adding all the angles it has to give you a total of 180.

Step-by-step explanation:

Slope Intercept Form is "y = mx + b"

What it means?

"m" - slope

"b" - y intercept (0,b)

So, we are given the slope, but not the y intercept..

For now, lets fill in the slope.

y = 1/4x +  b

We are given a coordinate pair (-2,-1)

Fill it into the equation and solve for b.

-1 = 0.25(-2) + b

-1 = -0.50 + b

- 0.50 = b

We now have the value of "B"

Fill in the rest of the equation:

y = 1/4x + -.50

^ I think that is correct, sorry if it's wrong.

x  =  3  − log  565/  log  2  =  −  6.142107057

Step-by-step explanation:

2^3-x =565

Log 2^3-x =  log  565

(3-x) times log 2 = log 565

3 −  x  =  log  565 / log  2

3  −  log  565 / log  2  =  x

x  =  3  − log  565/  log  2  =  −  6.142107057

Answer:

x = -557

Step-by-step explanation:

2^3 is 2x2x2 which equals 8. 8 - x = 565. Move the constant to the right-hand side and change its sign. -x = 565 - 8. This is 557. Now change the negative sign on the x to a positive and the positive sign on the 557 to a negative. x= -557.

Answer: the answer is 2,4,5

Step-by-step explanation:

Answer:

B, D, E

Step-by-step explanation:

Took the test

Answer:

[tex](f\circ g)(x)= x + 4[/tex]

Step-by-step explanation:

Composite Function

Given f(x) and g(x) as real functions, the composite function [tex](f\circ g)(x)[/tex] is defined as:

[tex](f\circ g)(x)=f(g(x))[/tex]

It can be found by substituting g into f.

We are given the functions:

f(x) = -x + 3

g(x) = -x -1

Find

[tex](f\circ g)(x)=f(g(x))= - (-x -1) + 3[/tex]

Removing parentheses:

[tex](f\circ g)(x)= x + 1 + 3[/tex]

Simplifying:

[tex]\mathbf{(f\circ g)(x)= x + 4}[/tex]

Answer:

dependent care FSA

Health FSA

IRA

Step-by-step explanation:

Answer:

18 pizzas

Step-by-step explanation:

5x9=45

2x9=18

Welcome to Brainly :)

Answer:

18

Step-by-step explanation:

if it takes 2 pizzas to feed 5 people you 5 by 9 to get 45. You do the same with the 2 and 2 * 9 = 18

Answer:

-5/4

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

Slope = (5-10)/(49-45)

Answer:

please mark me as brainlist